249999967 has 16 divisors (see below), whose sum is σ = 301674240. Its totient is φ = 202385088.

The previous prime is 249999941. The next prime is 249999991. The reversal of 249999967 is 769999942.

It is a cyclic number.

It is not a de Polignac number, because 249999967 - 2¹⁹ = 249475679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249999899 and 249999908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249999917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43443 + ... + 48859.

It is an arithmetic number, because the mean of its divisors is an integer number (18854640).

Almost surely, 2^249999967 is an apocalyptic number.

249999967 is a deficient number, since it is larger than the sum of its proper divisors (51674273).

249999967 is a wasteful number, since it uses less digits than its factorization.

249999967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790.

The product of its digits is 19840464, while the sum is 64.

The square root of 249999967 is about 15811.3872572902. The cubic root of 249999967 is about 629.9604972292.

The spelling of 249999967 in words is "two hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred sixty-seven".